Simplify Square Root of 2250

Here we will show you step-by-step how to simplify the square root of 2250. The square root of 2250 can be written as follows:


	√	2250

The √ symbol is called the radical sign. To simplify the square root of 2250 means to get the simplest radical form of √2250.

Step 1: List Factors
List the factors of 2250 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 9, 25, 225

Step 3: Divide
Divide 2250 by the largest perfect square you found in the previous step:

2250 / 225 = 10

Step 4: Calculate
Calculate the square root of the largest perfect square:

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2250 in its simplest form:


15	√	10

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Decimal Form
Square Root of 2250 in Decimal form rounded to nearest 5 decimals:

47.43416

Exponent Form
Square Root of 2250 written with Exponent instead of Radical:

2250^½ = 15 x 10^½

Simplify Square Root of 2251
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* List of Perfect Squares